5750506240200 has 480 divisors, whose sum is σ = 20553365036160. Its totient is φ = 1489358707200.

The previous prime is 5750506240123. The next prime is 5750506240231. The reversal of 5750506240200 is 20426050575.

5750506240200 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 5 + 0 + 624 + 0 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99714574 + ... + 99772226.

It is an arithmetic number, because the mean of its divisors is an integer number (42819510492).

Almost surely, 2^{5750506240200} is an apocalyptic number.

5750506240200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5750506240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276682518080).

5750506240200 is an abundant number, since it is smaller than the sum of its proper divisors (14802858795960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5750506240200 is a wasteful number, since it uses less digits than its factorization.

5750506240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57859 (or 57841 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 5750506240200 in words is "five trillion, seven hundred fifty billion, five hundred six million, two hundred forty thousand, two hundred".